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Finding the Fourth Proportional to 1,996,229,266.60, 2,994,544,002.30 and 685,958,751.40

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Solution

The fourth proportional to 1,996,229,266.60, 2,994,544,002.30 and 685,958,751.40 is: 1,029,006,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,229,266.60 : 2,994,544,002.30 = 685,958,751.40 : x
  2. Step 2: Convert to fraction form
    1,996,229,266.60/2,994,544,002.30 = 685,958,751.40/x
  3. Step 3: Cross multiply
    1,996,229,266.60x = 2,994,544,002.30 × 685,958,751.40
  4. Step 4: Simplify right side
    1,996,229,266.60x = 2,054,133,664,830,066,688
  5. Step 5: Solve for x
    x = 2,054,133,664,830,066,688/1,996,229,266.60
  6. Step 6: Final answer
    x = 1,029,006,887.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.